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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $A=\{0,1,2,3,4,5\}$. Let $R$ be a relation on $A$ defined by $(x, y) \in R$ if and only if $\max \{x, y\} \in\{3,4\}$. Then among...
JEE Main Mathematics Medium
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Q JEE MAIN_2025
If $\int\left(\frac{1}{x}+\frac{1}{x^3}\right)\left(\sqrt[7]{3 x^{-24}+x^{-26}}\right) \mathrm{d} x=-\frac{\alpha}{3(\alpha+1)}\left(3 x^\beta+x^7\right)^{\frac{\alpha+4}{\alpha}}+C, x>0,(\alpha, \beta, \gamma \in \mathbf{Z})$, where C is the constant of integration, then $\alpha+\beta+\gamma$ is equal to $\_\_\_\_$ $\dot{\sim}$
JEE Main Physics Hard
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Q JEE MAIN 2025
There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the...
JEE Main Mathematics Easy
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Q JEE MAIN_2025
The sum of the series $...
JEE Main Physics Hard
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Q JEE MAIN_2025
If the function $f(x)=\frac{\tan (\tan x)-\sin (\sin x)}{\tan x-\sin x}$ is continuous at $x=0$, then $f(0)$ is equal to $\_\_\_\_$ συά
JEE Main Physics Easy
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Q JEE MAIN 2025
The integral $\int_{-1}^{\frac{3}{2}}\left(\left|\pi^2 x \sin (\pi x)\right|\right) d x$ is equal to :
JEE Main Mathematics Hard
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Q JEE MAIN_2025
Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2 a and 2 b, respectively, and one focus...
JEE Main Physics Easy
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Q JEE MAIN 2025
Given below are two statements: Statement I : $\lim _{x \rightarrow 0}\left(\frac{\tan ^{-1} x+\log _e \sqrt{\frac{1+x}{1-x}}-2 x}{x^5}\right)=\frac{2}{5}$ Statement II: $\lim _{x \rightarrow 1}\left(x^{\frac{2}{1-x}}\right)=\frac{1}{e^2}$ In the...
JEE Main Mathematics Easy
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Q JEE MAIN_2025
For $\mathrm{t}>-1$, let $\alpha_{\mathrm{t}}$ and $\beta$, be the roots of the equation $$ \left((t+2)^{1 / 7}-1\right) x^2+\left((t+2)^{1 / 0}-1\right) x+\left((t+2)^{2 / 2}-1\right)=0 \text {. If...
JEE Main Physics Hard
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Q JEE MAIN_2025
Let $c_1$ and $c_2$ be the eccentricities of the ellipse $\frac{x^2}{b^2}+\frac{y^2}{25}=1$ and the hyperbola $\frac{x^2}{16}-\frac{y^2}{b^2}=1$. respectively. If $\mathrm{b}<5$ and $e_1 e_2=1$, then the eccentricity of...
JEE Main Physics Easy
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